3[x+3(4x-5)]=15x-24; x+12x-15=5x-8 (divide both sides by 3); 8x=7 (move all the x's to one side), x=7/8
Answer:
<u>The number is 67</u>
Step-by-step explanation:
<u>Equations</u>
Let's consider the number 83. The tens digit is 8 and the unit digit is 3. Note the tens digit's addition to the number is 80, and the unit's addition is 3. This means the tens digit adds 10 times its value, that is, 83 = 8*10 + 3.
Now, let's consider the number ab, where a is the tens digit, and b is the unit digit. It follows that
Number=10*a+b
The question gives us two conditions:
1) The sum of a two-digits number is 13.
2) The tens digit is 8 less than twice the units digit.
The first condition can be expressed as:
a + b = 13 [1]
And the second condition can be written as:
a = 2b-8 [2]
Replacing [2] into [1], we have:
2b-8 + b = 13
Operating:
3b = 13 + 8
3b = 21
Solving for b:
b = 21 / 3 = 7
Substituting into [2]:
a = 2*(7) - 8 = 6
Thus, the number is 67
Answer: D, 1/2
Step-by-step explanation:
4 country, 6 rap, 10 pop = 20 total
10 pop / 20 total
10 / 20 = 1/2
Answer:
h(x) = x/2 - 1/2
Step-by-step explanation:
Here's the procedure for finding the inverse function algebraically:
1. Replace the label 'f(x)' with the label 'y:' y = 2x + 1
2. Interchange x and y: x = 2y + 1
3. Solve the resulting equation for y: 2y = x - 1, or y = (1/2)(x - 1) or y = x/2 - 1/2
This result corresponds to the 1st given possible answer choice.
The desired inverse function is h(x) = x/2 - 1/2
